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On a Method of Solution to Dispersion Equations in Electromagnetics
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.
2019 (English)In: 2019 URSI Asia-Pacific Radio Science Conference (AP-RASC), New Dehli, 2019, article id 8738297Conference paper, Published paper (Refereed)
Abstract [en]

A possible general approach to the analysis of dispersion equations (DEs) of electromagnetics is presented. The method takes into account the known explicit forms of DEs describing eigenoscillations and normal waves in layered structures and is based on the development of the notion of generalized cylindrical polynomials. The approach enables one to complete rigorous proofs of existence and determine domains of localization of the DE roots and validate iterative numerical solution techniques.

Place, publisher, year, edition, pages
New Dehli, 2019. article id 8738297
Keywords [en]
eigenvalues and eigenfunctions, electromagnetism, iterative methods, oscillations, polynomials, wave equations, dispersion equations, electromagnetics, DEs describing eigenoscillations, normal waves, layered structures, generalized cylindrical polynomials, possible general approach, explicit forms, eigenoscillations, iterative numerical solution techniques, Mathematical model, Dispersion, Frequency modulation, Zinc, Waveguide theory
National Category
Mathematics Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:hig:diva-30554DOI: 10.23919/URSIAP-RASC.2019.8738297ISI: 000491262700151Scopus ID: 2-s2.0-85068608591ISBN: 978-908-25987-5-9 (electronic)ISBN: 978-908-25987-4-2 (print)ISBN: 978-1-5386-8551-8 (print)OAI: oai:DiVA.org:hig-30554DiVA, id: diva2:1345037
Conference
URSI AP-RASC 2019, 09 - 15 March 2019, New Delhi, India
Available from: 2019-08-22 Created: 2019-08-22 Last updated: 2019-11-25Bibliographically approved

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Shestopalov, Yury

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf